State the combined gas law.
PV = nRT
The product of pressure and volume is proportional to the absolute temperature.
Demonstrate the working going from the combined gas law to the universal gas law.
PV/T = Constant (R)
Constant is proportional to the no. of moles of gas:
PV/T = nR
Rearrange the equation to get universal gas equation:
PV = nRT
What is the molar gas constant?
8.31 J/K/mol
Define:
diffusion
Movement of a substance from an area of high concentration to an area of lower concentration.
What is the difference between diffusion and flow?
Flow is the bulk movement of fluid driven by pressure differences.
Diffusion is the passive, random movement of molecules resulting in net transport from high to low concentration.
State Fick’s Law of Diffusion.
States that the rate of transfer of a gas through the membrane is:
State the equation for velocity of diffusion across a membrane.
This is Fick’s law multiplied by a diffusion constant.
State Graham’s law of diffusion.
Rates at which gases diffuse are inversely proportional to the square root of their densities.
Which two factors affect the diffusion constant of a gas in a liquid?
What is the thickness of the respiratory membrane in a normal healthy lung?
0.5-1.0 µm
What is the transit time for a red blood cell to pass through a pulmonary capillary?
0.75 s
NOTE: CO2 diffusion is complete in 0.10 s and O2 diffusion is complete in 0.30-0.40 s.
State the steps to derive the equation for lung diffusion capacity.
Diffusion capacity incorporates the structural factors that affect diffusion (i.e. diffusion coefficient, area and thickness).
Based on the Fick equation:
Rate is proportional to (Diffusion Constant x Area x Partial Pressure Gradient)/Thickness
It is accounting for the three factors aside from partial pressure gradient.
Why is carbon monoxide a useful agent for measuring the diffusion capacity of the lung?
How is the diffusion capacity of the lung measured using the carbon monoxide breath hold method?
DLCO quantifies how much CO is transferred from the alveoli into the blood per minute per mmHg of mean alveolar CO partial pressure.
The patient inhales a gas mix containing ~0.3% CO and 10% helium to total lung capacity, holds their breath for 10 seconds, then exhales.
Helium dilution is used to estimate alveolar volume, while the fall in CO over time is used to calculate CO uptake (V̇CO).
Mean alveolar CO pressure (P̄ACO) is estimated from the remaining CO concentration, and:
DLCO = V̇CO / P̄ACO
Define:
osmosis
Diffusion of a solvent across a membrane whilst the solute remains.
Quantified in terms of osmotic pressure which is the pressure required to stop the flow from one side of the membrane to the other.
Define:
solubility
The amount (in moles) of a solute that can be dissolved in a unit volume of solvent under specified conditions.
Define:
Henry’s law
At a constant temperature, the amount of a given gas that dissolves in a given type and volume of liquid is directly proportional to the partial pressure of that gas in equilibrium with that liquid.
Describe how temperature affects the solubility of a gas in a liquid.
Solubility decreases.
Molecules gain kinetic energy as temperature rises, making it easier for it to escape from the liquid phase.
Why does a fizzy drink fizz when it’s opened?
Opening the bottle lowers the pressure above the liquid, creating a partial pressure gradient that causes dissolved CO₂ to escape into the gas phase. On a hot day, higher temperatures further reduce gas solubility, making the drink go flat faster.
Define:
partition coefficient
Measures the tendency of a solute to dissolve in two different immiscible solvents (phases). It is the ratio of concentrations of a substance in two phases of a mixture of two immiscible solvents.
Written as λ(a,b)
Why is a low blood-gas partition coefficient favourable for volatile anaesthetic agents?
A low blood-gas partition coefficient means the anaesthetic is less soluble in blood, allowing alveolar partial pressure to rise quickly. This creates a steep gradient for rapid diffusion into the brain, leading to a faster onset of action.
In contrast, high solubility delays this process by slowing the buildup of alveolar partial pressure and reducing the drug’s drive to cross into the brain.
Define:
colligative properties
Properties of solutions that depend on the NUMBER of molecules of solute in a given volume of solvent rather than the properties of the solute molecules themselves.
List some examples of colligative properties.
What effect does dissolving salt in water have on the boiling and freezing point and why?
Dissolving salt in water RAISES the boiling point because solute particles reduce the number of solvent molecules at the surface, hindering evaporation. This means a higher temperature is needed for the vapour pressure to match atmospheric pressure.
It also LOWERS the freezing point because solute particles disrupt the formation of the solid lattice, making it harder for water molecules to freeze.